Mathematical Aspects of the Reliability Problem

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Previous article Next article Mathematical Aspects of the Reliability ProblemR. F. DrenickR. F. Drenickhttps://doi.org/10.1137/0108008PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] V. Henney, Reliability Factors for Ground Electronic Equipment, McGraw-Hill, New York, 1956 Google Scholar[2] G. E. Albert and , Lewis Nelson, Contributions to the statistical theory of counter data, Ann. Math. Statistics, 24 (1953), 9–22 MR0053447 0050.13905 CrossrefISIGoogle Scholar[3] R. F. Drenick, A statistical view of reliability, Proceedings of the Working Conference on the Theory of Reliability, New York Univ., 1957, 30–40, April Google Scholar[4] Willy Feller, On the integral equation of renewal theory, Ann. Math. Statistics, 12 (1941), 243–267 MR0005419 0026.23001 CrossrefGoogle Scholar[5] A. J. Lotka, A contribution to the theory of self-renewing aggregates, with special reference to industrial replacement, Ann. Math. Statist., 10 (1939), 1–25 0020.24604 CrossrefGoogle Scholar[6] E. B. Kurtz, Life Expectancy of Physical Equipment, Ronald Press, New York, 1930 Google Scholar[7] C. E. Weitz, Lamp Bulletin, Application Engineering Bulletin, Large Lamp Dept., General Electric Co., Cleveland 12, Ohio, 1956 Google Scholar[8] A. H. Benner and , B. E. Meredith, Designing reliability into electronic circuits, Proceedings of the National Electronics Conference, 1954, 137–145 Google Scholar[9] C. R. Knight, , E. R. Jervis and , G. R. Herd, The definition of terms of interest in the study of reliability, I.R.E. Trans. on Reliability and Quality Control, (1955), 34–56, April CrossrefGoogle Scholar[10] D. K. Gannett, Determination of the average life of vacuum tubes, Bell Laboratories Record, 18 (1940), 378–382 Google Scholar[11] Philip M. Morse, Queues, inventories and maintenance. The analysis of operational systems with variable demand and supply, Publications in Operations Research, Operations Research Society of America, No. 1, John Wiley & Sons Inc., New York, 1958ix+202 MR0091216 Google Scholar[12] George H. Weiss, On the theory of replacement of machinery with a random failure time, Naval Res. Logist. Quart., 3 (1956), 279–293 (1957) MR0084438 CrossrefGoogle Scholar[13] I. Richard Savage, Cycling, Naval Res. Logist. Quart., 3 (1956), 163–175 (1957) MR0086715 CrossrefGoogle Scholar[14] Richard Bellman, Dynamic programming, Princeton Univeristy Press, Princeton, N. J., 195710, 42 MR0090477 Google Scholar[15] William Feller, Fluctuation theory of recurrent events, Trans. Amer. Math. Soc., 67 (1949), 98–119 MR0032114 0039.13301 CrossrefISIGoogle Scholar[16] B. J. Flehinger, Reliability improvement through redundancy at various system levels, IBM J. Res. Develop., 2 (1958), 148–158 CrossrefISIGoogle Scholar[17] F. Moskowitz and , J. B. McLean, Some reliability aspects of systems design, I.R.E. Trans. on Reliability and Quality Control, (1956), 7–35, Sept. CrossrefGoogle Scholar[18] Conny Palm, Intensitätsschwankungen im Fernsprechverkehr, Ericsson Technics, 44 (1943), 189– MR0011402 0063.06088 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Analytic Properties of a Generating Function for the Number of Renewals17 July 2006 | Theory of Probability & Its Applications, Vol. 8, No. 1AbstractPDF (400 KB) Volume 8, Issue 1| 1960Journal of the Society for Industrial and Applied Mathematics History Submitted:07 October 1958Published online:10 July 2006 InformationCopyright © 1960 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0108008Article page range:pp. 125-149ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics